Chocolate shipping insulation comparison calculator

Calculate observed time inside band by package with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use observed time inside band by package to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Package test traces [name,[[elapsed hour,temperature °C],...]]; enter JSON
[["A",[[0,18],[4,22],[8,28]]],["B",[[0,18],[4,20],[8,24]]]]
Evaluated transit duration (hours)
8
User band lower temperature (°C)
16
User band upper temperature (°C)
24
Observed time inside band by package (hours, JSON)
{"A":5.33333333333,"B":8}

Try another scenario

Package test traces [name,[[elapsed hour,temperature °C],...]]; enter JSON
[["A",[[0,16],[3,20],[6,26]]],["B",[[0,18],[3,21],[6,23]]]]
Evaluated transit duration (hours)
6
User band lower temperature (°C)
17
User band upper temperature (°C)
22
Observed time inside band by package (hours, JSON)
{"A":3.25,"B":4.5}
Calculation method

Calculation method

Observed time inside band by package (hours, JSON)

Clip each linear segment to transit duration and integrate interval length where lower<=temperature<=upper.

Symbols and units
a
Package test traces [name,[[elapsed hour,temperature °C],...]]; enter JSON
b
Evaluated transit duration (hours)
c
User band lower temperature (°C)
d
User band upper temperature (°C)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Compare measured temperature traces by linear interpolation only within observed times. User-selected band is not a shipping standard. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. Each trace starts at time 0 and extends through evaluated duration; >=2 strictly increasing timestamps; lower<=upper. No extrapolation or microbial/product suitability prediction.
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